query_question: Find the equivalent capacitor C as shown in <image 1>, where $\mu F$ denotes a microfarad, equivalent to $10^{-6}$ farad.
options: []
demo_question_list: Using superposition and Laplace transform techniques, calculate the voltage $v_2(t)$ in <image 1>.
  A. $[2 - 2.4e^{-(1 / 2)t} - (1 / \sqrt{5}) cos (t - 63.44^{\circ})] u(t)$
  B. $[2 - 2.4e^{-(1 / 2)t} - (1 / \sqrt{3}) sin (t - 63.44^{\circ})] u(t)$
  C. $[2 - 2.1e^{-(1 / 2)t} - (1 / \sqrt{5}) sin (t - 63.44^{\circ})] u(t)$
  D. $[2 - 2.4e^{-(1 / 2)t} - (1 / \sqrt{5}) sin (t - 63.44^{\circ})] u(t)$
  
  Answer with the option's letter from the given choices directly.  In <image 1>. $v_c = sin 2 \pi T$. Find an expression for i and calculate i at the instants t = 1/2s.
  A. $3 \pi x 10^-5 A$
  B. $0 \pi x 10^-5 A$
  C. $1 \pi x 10^-5 A$
  D. $-2 \pi x 10^-5 A$
  
  Answer with the option's letter from the given choices directly. Find the $A_v$ of the following circuit in <image 1> and $R_{EU}$ is 100$\Omega$.
  
  Answer the question using a single word or phrase. The circuit in <image 1> consists of a general inverter connected to a load. Suppose the range of logical 1 is defined to be 4 to 5V. Determine the minimum $R_L$ in order that the output be 1 when the input voltage v1 is zero.
  
  Answer the question using a single word or phrase.